The paper argues for a "geometric" approach to the semantics of "concrete" atomic sentences in natural and formal languages and the use of category-theoretic tools to represent the meaning of sentences on "abstract" entities as metaphors grounded in the topological meaning of "concrete" sentences. A "geometric" approach is intended as one referring to the primitive experience of space, described in a category of spaces rather than in the category of sets.
Geometric roots of semantics I: from a logical point of view / Peruzzi, Alberto. - STAMPA. - (1995), pp. 165-165. ((Intervento presentato al convegno Logic, Methodology and Philosophy of Science X tenutosi a Firenze nel 1995.
Geometric roots of semantics I: from a logical point of view
PERUZZI, ALBERTO
1995
Abstract
The paper argues for a "geometric" approach to the semantics of "concrete" atomic sentences in natural and formal languages and the use of category-theoretic tools to represent the meaning of sentences on "abstract" entities as metaphors grounded in the topological meaning of "concrete" sentences. A "geometric" approach is intended as one referring to the primitive experience of space, described in a category of spaces rather than in the category of sets.
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